Mathematics
19 Online
OpenStudy (anonymous):
One number is 8 more than another. The sum of the two numbers is 26. What are the numbers?
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OpenStudy (anonymous):
I will fan and medal!
Vocaloid (vocaloid):
Hint:
N = the first number
N + 8 = the second number
N + N + 8 = 26
Solve for N
OpenStudy (anonymous):
2N+8=26
2N=18
N=9
Vocaloid (vocaloid):
Good, now find N + 8
OpenStudy (anonymous):
17
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Vocaloid (vocaloid):
Good do your two numbers are 17 and 9
OpenStudy (anonymous):
Can you help me with 2 more?
Vocaloid (vocaloid):
I guess yea
OpenStudy (anonymous):
\[\frac{ 5 }{ 6 }*\frac{ 1 }{ 2 }*\frac{ 3 }{ 25 }=\]
OpenStudy (anonymous):
The answer has to be simplified.
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OpenStudy (anonymous):
\[=\frac{ 15 }{ 300 }\]
Vocaloid (vocaloid):
The 25 can be changed to 5 and the 5 can be changed to a 1
Vocaloid (vocaloid):
Oh, well, 15/300 = 1/20
OpenStudy (anonymous):
1/20 was right
Vocaloid (vocaloid):
Right, all I did was divide the numerator and denominator by 15
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OpenStudy (anonymous):
Right! Last one!\[\frac{ 30x }{ 37 }*\frac{ 23 }{ 10}\]
OpenStudy (anonymous):
It comes out to 690/370
Vocaloid (vocaloid):
The 30 and the 10 cancel to get 3 and 1
OpenStudy (anonymous):
69/37
Vocaloid (vocaloid):
Almost, don't forget the x
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OpenStudy (anonymous):
right!
OpenStudy (anonymous):
YES!!!! THANK YOU SO MUCH!!!!!!
Vocaloid (vocaloid):
69x/37
Vocaloid (vocaloid):
Great!!!
OpenStudy (anonymous):
Great....I have 2 more....can you help?
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Vocaloid (vocaloid):
K
OpenStudy (anonymous):
\[\left(-\begin{matrix}5 \\ 6\end{matrix}\right)^{2}\]
Vocaloid (vocaloid):
Square the numerator and denominator
OpenStudy (anonymous):
- 25/36
Vocaloid (vocaloid):
The negative sign cancels out to get a positive answer
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Vocaloid (vocaloid):
25/36
OpenStudy (anonymous):
okay
Vocaloid (vocaloid):
Remember, (-1) squared is 1
OpenStudy (anonymous):
Last One! I promise!
(7x+9)-(-2x^2-5x+9)
Vocaloid (vocaloid):
Distribute the negative sign first
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OpenStudy (anonymous):
I got it right! Thank you so much for your help!
Vocaloid (vocaloid):
Awesome
OpenStudy (anonymous):
Your great!